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Finding the Fourth Proportional to 25,364.64, 38,049.12 and 6,644.60

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Solution

The fourth proportional to 25,364.64, 38,049.12 and 6,644.60 is: 9,967.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,364.64 : 38,049.12 = 6,644.60 : x
  2. Step 2: Convert to fraction form
    25,364.64/38,049.12 = 6,644.60/x
  3. Step 3: Cross multiply
    25,364.64x = 38,049.12 × 6,644.60
  4. Step 4: Simplify right side
    25,364.64x = 252,821,182.75
  5. Step 5: Solve for x
    x = 252,821,182.75/25,364.64
  6. Step 6: Final answer
    x = 9,967.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.